概要 | We will discuss the limit behavior of the solutions to the Kawahara equation
as . In this equation, the terms and do compete together and do cancel each other at frequencies of order . This prohibits the use of a standard dispersive approach for this problem. Nevertheless, by combining different dispersive approaches according to the range of spaces frequencies, we will see that the solutions to this equation converge in towards the solutions of the KdV equation for any fixed .
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